401157756539929 has 9 divisors (see below), whose sum is σ = 407843164455519. Its totient is φ = 394580198139960.

The previous prime is 401157756539927. The next prime is 401157756539951. The reversal of 401157756539929 is 929935657751104.

The square root of 401157756539929 is 20028923.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13044904203529 + 388112852336400 = 3611773^2 + 19700580^2 .

It is not a de Polignac number, because 401157756539929 - 2¹ = 401157756539927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401157756539927) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1221600132 + ... + 1221928474.

Almost surely, 2^{401157756539929} is an apocalyptic number.

401157756539929 is the 20028923-rd square number.

401157756539929 is the 10014462-nd centered octagonal number.

It is an amenable number.

401157756539929 is a deficient number, since it is larger than the sum of its proper divisors (6685407915590).

401157756539929 is an frugal number, since it uses more digits than its factorization.

401157756539929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656808 (or 328404 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 73.

The spelling of 401157756539929 in words is "four hundred one trillion, one hundred fifty-seven billion, seven hundred fifty-six million, five hundred thirty-nine thousand, nine hundred twenty-nine".